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46.
The simple interest at x% for x years will be Rs. x on a sum of:
  • A.
    Rs. x
  • C.
    Rs.
      100  
    x2
  • B.
    Rs.
      100  
    x
  • D.
    Rs. 100x
  • Answer & Explanation
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Answer : [B]
Explanation :
 
  Sum =   100 x S.I.   = Rs.   100 x x    = Rs.   100        
R x T x x x x      
 
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47.
An amount of Rs. 1,00,000 is invested in two types of shares. The first yields an interest of
9% per annum and the second, 11% per annum. If the total interest at the end of one year
is 9 3  %, then the amount invested in each share was :    
4    
  • A.
    Rs. 52,500; Rs. 47,500
  • C.
    Rs. 72,500; Rs 27,500
  • B.
    Rs. 62,500; Rs. 37,500
  • D.
    Rs. 82,500; Rs. 17,500
  • Answer & Explanation
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Answer : [B]
Explanation :
 
Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (100000 - x).
 
Then,
  x x 9 x 1  
100
+
(100000 - x) x 11 x 1
100
=
  100000 x 39 x 1  
4 100
 
 
 
 
 
  9x + 1100000 - 11x = 39000  = 9750    
100 4    
 
      2x = (1100000 - 975000) = 125000     x = 62500.  
 
      Sum invested ar 9% = Rs. 62500.  
 
      Sum invested ar 11% = Rs. (100000 - 62500) = Rs. 37500.  
 
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48.
A sum of money becomes 7  of itself in 3 years at a certain rate of simple interest.  
6  
The rate per annum is :
  • A.
    5
    5 %
    9
  • C.
    18%
  • B.
    6
    5 %
    9
  • D.
    25%
  • Answer & Explanation
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Answer : [A]
Explanation :
 
Let sum = x. Then, amount = 7x  
6  
 
S.I. =   7x  - x = x ; Time = 3 years.        
6 6        
 
 
 Rate =   100 x x % = 50 % = 5 5 %    
x x 6 x 3 9 9    
 
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49.
A sum at Simple Interest amounts to Rs. 1000 in 2 years and Rs. 4000 in 5 years. Find the sum and rate of interest.
  • A.
    1300
  • C.
    1200
  • B.
    1400
  • D.
    1500
  • Answer & Explanation
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Answer : [D]
Explanation :
 
Amount in 2 years = Rs. 1000
 
Amount in 5 years = Rs. 4000
 
Interest for 3 years = 4000 1000 = Rs. 3000  
 
R = 100 x SI = 100 x 30 = 33 1  
PT 1000 x 3 3  
 
P = 100 x SI =
100 x 1000  
100  x 2
3
 
 
RT  
 
= 100 x 1000 x 3 = 1500  
100 x 2  
 
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50.
A sum of money is lent at S.I for 8 years. If the same amount is paid at 5% higher, Ramesh would have got Rs. 100 more. Find the Principal.
  • A.
    200
  • C.
    250
  • B.
    240
  • D.
    500
  • Answer & Explanation
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Answer : [C]
Explanation :
 
Let the Principal be P Rs.
 
Let the first rate of interest be r1
 
The difference in r is 5
 
5 x P x N = (Difference in interest) x 100
 
5 x P x 8 = 100 x 100
 
p = 100 x 100 = Rs. 250  
5 x 8  
 
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